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Flashcards in Mock Deck (55):
1

Corresponding angles (f angle)...

Are equal

2

Alternate angles(z angle)...

Are equal

3

Co-interior angles(c angle)...

Add up to 180

4

What is the general equation of a straight line?

y=mx + c

5

What is the gradient equation?

Rise/run

6

How do you find the equation of a line when you’re given the gradient and the point that it goes through?

Gradient = 2
Point it goes through = (2,9)

y=mx + c
9=2(2)+c
9=4+?
C=5p

Answer: y=2x + 5

7

How do you calculate the gradient from 2 coordinates?

y-y/x-x

8

What are the angles in perpendicular lines?

The negative reciprocal of one another

9

What is the negative reciprocal of 1?

-1/2

10

How do you work out the midpoint of a line segment?

(x+x/2,y+y/2)

11

How do you work out the interior angle of a shape?

(n-2) x 180

12

How do you work out exterior angles?

360/no of sides

13

What do you need when you’re adding fractions?

A common denominator

14

What do you need when you’re subtracting fractions?

A common denominator

15

How do you divide fractions?

Skip flip multiply

16

How do you multiply fractions?

Multiply the numerators together and multiply the denominators together

17

What are the 2 steps of simplifying algebraic fractions?

1. Factorise

2. Cancel

18

What are the 4 types of transformations?

Rotation
Reflection
Translation
Enlargementt

19

What is the object in transformation?

The original shape

20

What is the image in transformation?

The shape that is produced

21

What is translation?

Sliding a shape

22

What is needed in translation?

A vector

23

In a vector, what does the top digit tell you?

How far the shape moves to the left/right

24

In a vector, what does the bottom digit tell you?

How far the shape moves up/down

25

What are the 3 requirements for rotation?

Centre of rotation
Clockwise/anti-clockwise
Angle

26

What 2 things do you need for enlargement?

Centre of enlargement

Scale factor

27

How do you find the centre of enlargement?

Join up the corners of the object and the image

28

What does a negative scale factor mean?

Enlarges and rotates

29

What does a scale factor of 1/2 mean?

Gets smaller and closer to centre

30

Area of similar shapes?

Ratio squared

31

Volume of similar shapes?

Ratio cubed

32

What diagram is used to find out the factors of a number?

Factor tree diagram

33

In a Venn diagram, how do you find out the HCF?

Multiply all the numbers in the middle

34

In a Venn diagram, how do you find the LCM?

Multiply everything

35

What is X to the power of 1/2?

The square root of X

36

What is anything to the power of 0?

1

37

What is X to the power of -2?

1/X squared

38

What do you do to estimate?

Round everything to 1 sig fig

39

How do you estimate the root of a number?

Find the two closest square numbers and estimate the number from there, depending on which square number it’s closer to

40

How do you convert recurring decimals into fractions?

1. Multiply it by a factor of 10 until it lines up
2. Do 10x-x
3. 9x = ?
4. x = ?/x

41

What is the equation for sin θ?

Sin θ=opposite/hypotenuse

42

What is the equation for cos θ?

Cos θ=opposite/adjacent

43

What is the equation for tan θ?

Tan θ=opposite/adjacent

44

How do you work out the missing angle in trigonometry?

Sin-1( )

45

What is the area of a parallelogram?

Base x perpendicular height

46

How do you work out the area of a trapezium?

Half the sum of the parallel sides

Times the distance between them

47

How do you work out the area of a kite?

Width X height/2

48

What is the area of a circle?

PiR squared

49

What is the Pythagoras equation?

A² + B² =C²

50

How do you use Pythagoras to find the length of a line?

Make the line into a right angled triangle

51

What is the equation for speed?

Distance/time

52

How do you work out the speed on the distance time graph?

The gradient

53

What is the gradient on a speed time graph?

Acceleration

54

How do you work out the distance travelled on a speed time graph?

The area underneath

55

How do you express ratios in the form 1:n?

Make the left side 1